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Allisa [31]
3 years ago
10

A family has two cars. The first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of

35 miles per gallon of gas. During one particular week, the two cars went a combined total of 1225 miles, for a total gas consumption of 50 gallons. How many gallons were consumed by each of the two cars that week?
first car:
Second:
Mathematics
2 answers:
Lubov Fominskaja [6]3 years ago
7 0

<u>Answer:</u>

First car:  35 gallons

Second car: 15 gallons

<u>Step-by-step explanation:</u>

Assuming x to be the gas consumed by 1st car and 50 - x to be the gas consumed by 2nd car.

We know that:

Distance traveled = fuel efficiency × gas consumed

20x+35(50-x)=1225

20x+1750-35x=1225

35x-20x=1750-1225

15x=525

x=35

So 50 - x = 50-35=15

Therefore, first car consumed 35 gallons while second car consumed 15 gallons.

gladu [14]3 years ago
6 0

Answer:

First car: 35 gallons

Second car: 15 gallons

Step-by-step explanation:

Set up a system of equations.Let be "x" the number of gallons consumed by the first car and "y" the number of gallons consumed by the second car.

Then:

\left \{ {{x+y=50} \atop {20x+35y=1,225}} \right.

Applying the Elimination method, multiply the first equation by -20, then  add both equations and solve for "y":

\left \{ {{-20x-20y=1,000} \atop {20x+35y=1,225}} \right. \\.......................\\15y=225\\y=15

Substitute this value into the first equation and solve for "x":

x+15=50\\x=35

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Step-by-step explanation:

Please have a look at the attached figure.

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Let us try to find out \angle E and \angle DFE. After that we will compare them.

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i.e. external \angle DFG = \angle E + \angle EDF

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